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Finding the Fourth Proportional to 257,694.46, 386,553.83 and 212,632.22

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Solution

The fourth proportional to 257,694.46, 386,553.83 and 212,632.22 is: 318,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694.46 : 386,553.83 = 212,632.22 : x
  2. Step 2: Convert to fraction form
    257,694.46/386,553.83 = 212,632.22/x
  3. Step 3: Cross multiply
    257,694.46x = 386,553.83 × 212,632.22
  4. Step 4: Simplify right side
    257,694.46x = 82,193,799,022.40
  5. Step 5: Solve for x
    x = 82,193,799,022.40/257,694.46
  6. Step 6: Final answer
    x = 318,958.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.